Some minimization theorems for fixed point theorems in fuzzy metric spaces with applications (Q2748638)
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scientific article; zbMATH DE number 1660542
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some minimization theorems for fixed point theorems in fuzzy metric spaces with applications |
scientific article; zbMATH DE number 1660542 |
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16 October 2003
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fixed point
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fuzzy metric space
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minimization
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Caristi's fixed point theorem
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Some minimization theorems for fixed point theorems in fuzzy metric spaces with applications (English)
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The concept of a fuzzy metric space used in the paper under review is that of \textit{O. Kaleva} and \textit{S. Seikkala} [Fuzzy Sets Syst. 12, 215-229 (1984; Zbl 0558.54003)]. The authors prove a minimization type result which generalizes a similar theorem of \textit{J. S. Jung}, \textit{Y. J. Cho} and \textit{J. K. Kim} [ibid. 61, 199-207 (1994; Zbl 0845.54004)]. Among various corollaries is a fuzzy metric space version of Caristi's famous fixed point theorem.
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